Journal of Symbolic Logic

On Skolemization in constructive theories

Matthias Baaz and Rosalie Iemhoff

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


In this paper a method for the replacement, in formulas, of strong quantifiers by functions is introduced that can be considered as an alternative to Skolemization in the setting of constructive theories. A constructive extension of intuitionistic predicate logic that captures the notions of preorder and existence is introduced and the method, orderization, is shown to be sound and complete with respect to this logic. This implies an analogue of Herbrand’s theorem for intuitionistic logic. The orderization method is applied to the constructive theories of equality and groups.

Article information

J. Symbolic Logic Volume 73, Issue 3 (2008), 969-998.

First available in Project Euclid: 27 December 2008

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier


Baaz, Matthias; Iemhoff, Rosalie. On Skolemization in constructive theories. J. Symbolic Logic 73 (2008), no. 3, 969--998. doi:10.2178/jsl/1230396760.

Export citation